26427202560 has 528 divisors, whose sum is σ = 103647503232. Its totient is φ = 6403276800.

The previous prime is 26427202513. The next prime is 26427202577. The reversal of 26427202560 is 6520272462.

26427202560 is a `hidden beast` number, since 2 + 642 + 7 + 2 + 0 + 2 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-3 number, since 3×26427202560³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13684795 + ... + 13686725.

Almost surely, 2^26427202560 is an apocalyptic number.

26427202560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26427202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51823751616).

26427202560 is an abundant number, since it is smaller than the sum of its proper divisors (77220300672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26427202560 is a wasteful number, since it uses less digits than its factorization.

26427202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 26427202560 in words is "twenty-six billion, four hundred twenty-seven million, two hundred two thousand, five hundred sixty".